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Finding the Fourth Proportional to 7,855.18, 10,828.94 and 5,616.24

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Solution

The fourth proportional to 7,855.18, 10,828.94 and 5,616.24 is: 7,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.18 : 10,828.94 = 5,616.24 : x
  2. Step 2: Convert to fraction form
    7,855.18/10,828.94 = 5,616.24/x
  3. Step 3: Cross multiply
    7,855.18x = 10,828.94 × 5,616.24
  4. Step 4: Simplify right side
    7,855.18x = 60,817,925.99
  5. Step 5: Solve for x
    x = 60,817,925.99/7,855.18
  6. Step 6: Final answer
    x = 7,742.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.